There is a straight path of length 70 m from the point A to the point B. The points are joined also by a railway track in the form of an arc of the circle whose centre is C and whose radius is 44 m, as shown in the diagram.

a. Show that the size, to 2 decimal places, of ∠ACB is 1.84 radians.

b. Calculate

i. The length of the railway track.

ii. The shortest distance from C to the path.

iii. The area of the region bounded by the railway track and the path.